Supersymmetric Noether Currents and Seiberg-Witten Theory

TL;DR

This paper reviews the construction of Noether currents in supersymmetric theories and uses them to derive and verify the mass formula in the Seiberg-Witten model, linking algebraic structures to physical predictions.

Contribution

It provides a systematic method for constructing Noether currents in supersymmetric theories and applies this to derive the mass formula in Seiberg-Witten theory, confirming its consistency.

Findings

Mass formula derived from supersymmetric algebra matches the full theory.

Systematic construction of Noether currents for effective supersymmetric theories.

Verification of the mass formula in the broken phase of the theory.

Abstract

The purpose of this paper is twofold. The first purpose is to review a systematic construction of Noether currents for supersymmetric theories, especially effective supersymmetric theories. The second purpose is to use these currents to derive the mass-formula for the quantized Seiberg-Witten model from the supersymmetric algebra. We check that the mass-formula of the low-energy theory agrees with that of the full theory (in the broken phase).